Answer:
C
Step-by-step explanation:
The area of rectangle RSTU is 36x2+25x−25. The length of the rectangle RSTU is 4x+5. Which expression describes the width of the rectangle RSTU?
Given:
The area of the rectangle RSTU = [tex]36x^2+25x-25[/tex]
Length of the rectangle RSTU = [tex]4x+5[/tex]
To find:
The width of the rectangle RSTU.
Step-by-step explanation:
We have,
[tex]36x^2+25x-25[/tex]
Splitting the middle term, we get
[tex]=36x^2+45x-20x-25[/tex]
[tex]=9x(4x+5)-5(4x+5)[/tex]
[tex]=(4x+5)(9x-5)[/tex]
We know that, the area of a rectangle is
[tex]Area=Length \times width[/tex]
Area of rectangle is product of (4x+5) and (9x-5).
Since (4x+5) is the length of the rectangle, therefore, (9x-5) is the width of the rectangle RSTU.
3xy - 4y when y = 2 and x = 5
Answer:
22
Step-by-step explanation:
Parallel to y = -x -5; through (4,-3)
Answer:
y = -x + 1
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
9. If the area of a square is given by the polynomial 4x2 – 36x + 81, then which of the following expressions represents the length of one side of the square?
A 2x - 9
B 2x + 9
C 4x - 18
D 4x + 18
Answer:
it is b
Step-by-step explanation:
Find the area of the following shape:
Answer:
63 in^2
Step-by-step explanation:
Area = base x height
Base: 7
Height: 9
9 x 7 = 63
Answer:
63 inches squared or [tex]63in^{2}[/tex]
Step-by-step explanation:
The answer is 63 inches squared.
The area of a parallelogram is always base times height.
In this case, the base is seven and the height is nine.
To find the area, we must multiply nine by seven
We get 63
But, we are multiplying inches and inches together
When we multiply something by itself, it becomes squared
Since we are multiplying inches by inches, it becomes inches squared
Therefore, the area of the shape is 63 inches squared, or
[tex]63in^2[/tex]
A store advertises a sale that all items are
marked down 30% or more. A life jacket is
marked down from $68 to a sale price of
$44.20. Is the advertisement true? Explain
why or why not.
Step-by-step explanation:
true. 30% of 68 is 20.40 if it was 30 percent off it would be 47.60 and it's is 3.40 more off so it is true that it is 30% or more
1.3.27
The length of a new rectangular playing field is 8 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 506 yards, what are its dimensions?
The width is
Answer:
The width of the field is 49 yards and the length is 204 yards.
Step-by-step explanation:
Let the width be b.
Length = 8+4b
The perimeter of the rectangle = 506 yards
The perimeter of the rectangle is given by :
P=2(l+b)
So,
506=2(8+4b+b)
253 = 8+5b
245 = 5b
b = 49 yards
Length, l = 8+4b
= 8+4(49)
= 204 yards
So, the width of the field is 49 yards and the length is 204 yards.
How to find the domain of a composite function
Answer:
The domain of a composite function f(g(x)) f ( g ( x ) ) is the set of those inputs x in the domain of g for which g(x) is in the domain of f .
A farmer is able to get 45.5 gallons of milk from his cow each week. How many gallons can he get per day?
Answer:
6.5 gallons per day
Step-by-step explanation:
Divide 45.5 by 7 = 6.5
5 cards are drawn at random from a standard deck. Find the probability that all cards are face cards.
Answer:
99 / 324,870 or 3%
Step-by-step explanation:
there are 12 face cards out of a total of 52 cards
probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]
The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Calculation of the probability:Since 5 cards are drawn at random from a standard deck
Also, we know that
there are 12 face cards out of a total of 52 cards
So here the probability be like
[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]
= [tex]99 / 324,870[/tex]
Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Learn more about probability here: https://brainly.com/question/21102470
Robin ran 1/2 of a mile. He finished with 2/3 of the race. how long is the whole race?
Answer: 3/4 mile
Step-by-step explanation:
To find the answer, you divide 1/2 by 2/3. You do KCC so it turns into 1/2 x 3/2. The final answer is 3/4.
So we know that Robin ran 1/2 of a mile and he finish 2/3 of the race.
To find the answer, you divide 1/2 by 2/3.
You do keep change change, so it turns into 1/2 x 3/2 which is 3/4.
Final result: 3/4
82 - 2x - 10 factor each polynomia
l
According to recent UN figures, the annual gun homicide rate is 62.4 per one million residents in the US and 1.3 per one million residents in Britain. Compare the proportion of residents killed annually by guns using the (a) difference of proportions, (b) relative risk. Which measure is more useful for describing the strength of association
Answer:
[tex]P_D=61.1*10^{-4}[/tex]
[tex]R_r=480[/tex]
Step-by-step explanation:
From the question we are told that
Homicide rate in US [tex]R_U=62.4\ per\ one\ million[/tex]
Homicide rate in Britain [tex]R_B=1.3\ per\ one\ million[/tex]
Generally the equation for probability of homicide is mathematically given as
[tex]P=\frac{R}{10^6}[/tex]
Generally the equation for probability of homicide in US is mathematically given as
[tex]P_U=\frac{62.4}{10^6}[/tex]
[tex]P_U=62.4*10^{-4}[/tex]
Generally the equation for probability of homicide in Britain is mathematically given as
[tex]P_B=\frac{1.3}{10^6}[/tex]
[tex]P_B=1.3*10^{-5}[/tex]
a)Generally the difference b/w the probabilities P_D is mathematically given as
[tex]P_D=P_U-P_B[/tex]
[tex]P_D=62.4*10^{-4}-1.3*10^{-5}[/tex]
[tex]P_D=61.1*10^{-4}[/tex]
Therefore US annual homicide is [tex]P_D=61.1*10^{-4}[/tex] greater than Britain's
b)Generally the Relative risk is R_r is mathematically given as
[tex]R_r=\frac{P_U}{P_B}[/tex]
[tex]R_r=\frac{62.4*10^{-4}}{1.3*10^{-5}}[/tex]
[tex]R_r=480[/tex]
what is x=9 z=2 times?
Answer:
x=9
z=2
Step-by-step explanation:
Write a slope-intercept form of the equation of the line passing through the points(-1,-5) and(-3,5).
Two Identical Buildings stand parallel on opposite sides of a road. Find the angle of depression from A to B
Answer:
8.7°
Step-by-step explanation:
The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.
The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:
base² = 43² + 15²
base² = 2074
base = 45.54 m
Using trigonometric function to find angle A:
tan(A) = base / height
tan(A) = 45.54 / 7
tan(A) = 6.506
A = tan⁻¹ (6.506)
A = 81.3°
Angle of depression = 90° - A = 90 - 81.3
Angle of depression = = 8.7°
solve for x
19.
20.
21.
22.
23.
24.
Answer:
I hope I helped sorry l didn't understand question number 19
Ginger buys lunch at school every day. She always gets pizza when it is
available. The cafeteria has pizza about 80% of the time.
Ginger runs a simulation to model this using a random number generator. She
assigns these digits to the possible outcomes for each day of the week:
• Let 0 and 1 = no pizza available
• Let 2, 3, 4, 5, 6, 7, 8, and 9 = pizza available
The table shows the results of the simulation,
08458 47165 68194 88490 01841
43226 12924 52568 93039 39406
What is the estimated probability that Ginger will eat pizza for lunch every day
next week?
A. 0.0
B. 0.2
C. 0.4
D. 0.8
Answer:
0.2
Step-by-step explanation:
43226 and 52568
The Probability that Ginger will eat pizza for lunch every day for next week is 0.2.
What is Probability?Probability is "possibility that deals with the occurrences random event. It values varies from 0 to 1".
According to the question,
Ginger assigns digits 0 and 1 = no Pizza available and also assign digits
2,3,4,5,6,7,8 and 9 = Pizza available.
The table shows the results of the simulation,
08458 this simulation contains digit '0' so there is no pizza.
47165 this simulation contains digit '1' so there is no pizza.
68194 this simulation contains digit '1' so there is no pizza.
88490 this simulation contains digit '0' so there is no pizza.
01841 this simulation contains digits '0 and 1' so there is no pizza.
43226this simulation contains no digits '0 and 1' so there is pizza available.
12924 this simulation contains digit '1' so there is no pizza.
52568 this simulation contains no digits '0 and 1' so there is pizza available.
93039 this simulation contains digit '0' so there is no pizza.
39406this simulation contains digit '0' so there is no pizza.
Total number of simulation = 10.
Formula for Probability = [tex]\frac{Number of favorable events }{Total number of outcomes}[/tex]
Probability of availability of Pizza = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex] = 0.2.
Hence, the Probability that Ginger will eat pizza for lunch every day for next week is 0.2.
Learn more about Probability here
https://brainly.com/question/14378528
#SPJ2
A builder is using the scale drawing below to build a house. If the owner decides to increase the living room dimensions by 25%,what is the new length and width of the living room floor? (1cm=5 feet)
Answer:
Step-by-step explanation:
Building scale is 1cm=5feet
This means 1 cm is equivalent to 5 feet
If 1 cm is equals to 5 feet and the owner wants a 25% increase in dimension, this means;
25/100 =0.25.
0.25 x the actual dimension
0.25 x 5 = 1.25
1.25 + actual dimension
1.25 + 5 = 6.25.
This means the scale of the room will be on 1cm =6.25feet.
If the length of the room is A, the width is B;
The new length will then be 1.25 x A =1.25A
1.25A + A
The length of the new room is 1.25A +A
While the width of the new room is 1.25B +B
(4 + x)(x - 5)
Is the expression linear or quadratic?
Answer:
it's quadratic
Step-by-step explanation:
(4x+x)(x-5)
after expanding will give the answer x²-5x+4x-20 which is also equal to x²-x-20
Suppose you are an expert on the fashion industry and wish to gather information to compare the amount earned per month by models featuring Liz Claiborne attire with those of Calvin Klein. The following is the amount ($000) earned per month by a sample of 15 Claiborne models:
$4.7 $3.8 $6.7 $3.8 $3.9 $4.2 $4.0 $4.0 $4.8 $3.1 3.1 5.5 3.4 6.1 4.9
The following is the amount ($000) earned by a sample of 12 Klein models.
$4.0 $3.8 $3.6 $2.5 $4.9 $5.2 $5.9 $4.9 $4.4 $3.6 5.1 4.7
Required:
a. Find the degrees of freedom for unequal variance test.
b. State the decision rule for 0.05 significance level: H0: μLC ≤ μCK; H1: μLC > μCK.
c. Compute the value of the test statistic.
d. Is it reasonable to conclude that Claiborne models earn more? Use the 0.05 significance level.
Answer:
24 ; Tstat > Tcritical ; 0.052 ; Fail to eject the Null
Step-by-step explanation:
Claiborne model:
$4.7 $3.8 $6.7 $3.8 $3.9 $4.2 $4.0 $4.0 $4.8 $3.1 $3.1 $5.5 $3.4 $6.1 $4.9
Sample size, n1 = 15
Using calculator :
Mean, m1 = 4.4
Standard deviation, s1 = 1.056
Klein model:
$4.0 $3.8 $3.6 $2.5 $4.9 $5.2 $5.9 $4.9 $4.4 $3.6 $5.1 $4.7
Sample size, n = 12
Mean, m2 = 4.38
Standard deviation (s) = 0.923
To obtain the degree of freedom for unequal variances test, use the Relation :
Degree of freedom (DF) = (s1²/n1 + s2²/n2)² / { [ (s1² / n1)² / (n1 - 1) ] + [ (s2² / n2)² / (n2 - 1) ] }
(1.056^2/15 + 0.923^2/12)^2 / {[(1.056^2/15)^2 / (15 - 1)] + [(0.923^2/12)^2 / (12 - 1)]}
0.0211226 / (0.0003947 + 0.0004581)
= 24.768527
df = 24 rounded down to the nearest whole number.
Decision region :
α = 1-0.95 = 0.05
Tdf, 0.05 = 1.711
Tcritical = 1.711
Reject Null, if Tstat > Tcritical
The t - test statistic :
(m1 - m2) / (s1²/n1 + s2²/n2)
(4.4 - 4.38) / sqrt(1.056^2 / 15 + 0.923^2 / 12)
0.02 / 0.3812301
= 0.0524617
= 0.052
Since, Tstat < Tcritical, we fail to reject the Null. It is not reasonable to conclude that Claiborne model earns more.
The population of a small town was 1200 people in 1998. In 2008 the population of that same town was recorded as 6,000. What was the percent of increase?
Answer:
The population had a 400% increase
Please help me with these math problems! I have had so much going on lately and haven't had time to do them
Will give lots of points and make brainliest please help
Write the percent as a mixed number in simplest form.
168%
Answer:
1 and 17/25
Step-by-step explanation:
First, you make it into a fraction. So because percents are out of 100, it would be 168/100. Then, you take 100 out of it to get a mixed number, 1 and 68/100, and then simplify 68/100 by dividing both sides by the greatest common factor, which is 4. 68/100÷4=17/25. The answer would be 1 and 17/25.
(hope this helps :P)
How many 1/2s are in 6?
Jack was 14 years older than Priscilla. Together their ages totaled 158 years. What were their ages?
Answer:
Jack's age: 86, Priscilla's age: 72
Step-by-step explanation:
Priscilla's age can be called x, which makes Jack's x + 14. We know that their added ages total 158 years which means that x + x + 14 = 158, which means that 2x + 14 = 158. We can then solve this by subtracting 14 on both sides and getting 2x = 144. We can divide on both sides to get that x = 72. Since Priscilla's age is x and Jack's is x + 14, we already know Priscilla's age and we need to find Jacks by adding 14 to 72. 72 + 14 = 86, so Jack's age is 86.
Answer:
Jack is 86 years old,
and Priscilla is 72 years old
Step-by-step explanation:
j = Jack
p = Priscilla
j - 14 = p $\Rightarrow$ j = p+14
j+p = 158
By subsituting the value of j ( first equation) into the second equation, we get:
p+14+p = 158
2p+14 = 158
2p = 144
p = 72.
So, j = 86
Simplify
(5i²+8i+10) - (3i²-10i+3)
Answer:
2i^2+18i+7
Step-by-step explanation:
(5i^2+8i+10)-(3i^2-10i+3)
5i^2+8i+10-3i^2+10i-3
2i^2+18i+7
1) How do you describe Ana in the selection?
Answer:
she develops a fair and healthy relationship with her classmate but also she elected the class president at their school
Step-by-step explanation:
vote me as the brainliest
Please solve this for 15 points explain please
Answer:
1.25 cups
Step-by-step explanation:
Since you have 5 5/8 cups = 4 1/2 water bottles
you can make it
5.625 cups = 4.5 water bottles
Then, all you have to do is divide both sides of this equation by 4.5, so
5.625 / 4.5 = 1 water bottle
1.25 cups = 1 water bottle
The Farmers Market sells apples by the bushel, and each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples is a bushel of large apoles, how many small apples are in 1 lb of apples?
Answer: 4 apples in 1 lb
Step-by-step explanation:
Since there are twice as many apples as large apples, you would multiply
2 x 84 = 168
To find the apples per pound we want to divide the total number of apples, which is 168 by the weight of the bushel which is 42 lbs.
168/42=4
Therefore, there is 4 apples in 1 lb.
Hope this helped!, come back if i am wrong! :) ( I can redo the problem if it is)
Have a nice day! :)